If \(\int e^{x}[f(x)+f^{\prime}(x)]dx=e^

CUET Preparation Today

Start Free Mocks

Home Questions ZBE96YTVGY

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Indefinite Integration

Question:

If \(\int e^{x}[f(x)+f^{\prime}(x)]dx=e^{x}\sin x+c\) then \(f(x)\) is equal to

Options:

\(\cos x\)

\(\sin x\)

\(e^{x}\cos x\)

\(e^{x}\sin x\)

Correct Answer:

\(\sin x\)

Explanation:

Since \(\int e^{x}[f(x)+f^{\prime}(x)]dx=e^{x}f(x)+c\) So, \(f(x)=\sin x\)